SSC PHASE VII 2019 EXAM PAPER : Held on 14 October-2019 Shift-2

Q1. The average of 7 consecutive numbers is 20. The largest of these numbers is:

a. 25
b. 20
c. 21
d. 23

Q2. If a nine-digit number 785x3678y is divisible by 72, then the value of (7x - 5y) is:

a. 22
b. 20
c. 15
d. 25

Q3. A trader marks his goods at 35% above the cost price. He sells 80% of the goods at the marked price and rest, he sells by allowing 35% discount on the marked price. His profit percent is:

a. 27.55
b. 25.55
c. 20
d. 35

Q4. A sum of Rs. 12500 is distributed among A, B, C & D such that A gets Rs. 800 more than what B gets, C get twice of what B get and D get Rs. 900 more than what A gets. The ratio in which D, C, B & A receive the sums is:

a. 28 : 40 : 20 : 37
b. 28 : 20 : 40 : 37
c. 37 : 20 : 40 : 28
d. 37 : 40 : 20 : 28

Q5. If the seven digit number 5x634y2 is divisible by 88 such that x is not equal to y, then what is the value of (2y - 3x)?

a. 1.
b. 8
c. 15
d. 6

Q6. A shopkeeper earns a profit of 15% on selling a book at a 15% discount on the printed price. The ratio of the cost price and the printed price of the book is :

a. 20 : 23
b. 23 : 20
c. 23 : 17
d. 17 : 23

Q7. A can finish a work in 15 days and B can do the same work in twice the time taken by A, then working together, what part of the same work they can finish in five days?

a. ½
b. ⅘
c. ⅓
d. ⅕

Q8. A student cover a distance by cycle at 6 km/hr. He returns to the starting point in a bus at a speed of 42 km/hr. The average speed for the entire journey is:

a. 12.75
b. 24
c. 10.25
d. 10.5

Q9. The three numbers A, B, C are in the ratio ½ : ⅔ : ¾ . The difference between the greatest and smallest number is 21. The three numbers A, B, C respectively are:

a. 56, 42, 63
b. 63, 56, 42
c. 42, 63, 56
d. 42, 56, 63

Q10. A sum of Rs. 825 is lent in the beginning of the year at a certain rate of interest. After 8 month, a sum of Rs. 412.50 more is lent but at a rate twice the former. At the end of the year, Rs. 35.75 is earned as interest from both the loans. What was the original rate of interest?

a. 3%
b. 3.25%
c. 3.50%
d. 3.15%

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Q11. If 7 men and 4 women working together, can do five times as much work per hour as one man and one woman together, then the ratio of the work done by a man and that of a woman for a given time is:

a. 2 : 3
b. 3 : 2
c. 2 : 1
d. 1 : 2

Q12. There are 1550 boys and girls in a school. The number of girls exceeds the number of boys by 500. What is the percentage of girls in the school?

a. 67%
b. 66%
c. 54%
d. 65%

Q13. The average of six numbers is 36. If one number is excluded, the average becomes 37. What is the excluded number?

a. 37
b. 36
c. 35.5
d. 31

Q14. If a person sells a pen drive for Rs. 3192, making a profit of 33%, then the cost price of the pen drive is:

a. 2400
b. 2800
c. 3200
d. 3600

Q15. A train X running at 72km/hr crosses another train Y running at 54km/hr in opposite direction in 15 seconds. If the length of Y is two-fifths that of X, then what is the length of X?

a. 375
b. 150
c. 300
d. 225

Q16. What is the area of a sector of a circle, with central angle 75°, what the diameter of the circle is 9 cm?

a. 182π/32
b. 125π/16
c. 185π/16
d. 135π/32

Q17. If 3.4% of 600 of 2.5% of x = 382.5, then the value of x is:

a. 800
b. 775
c. 825
d. 750

Q18. If a + b + c = 7, and a² + b² + c² = 33, then what is the value of a³ + b³ + c³ -3abc?

a. 257
b. 287
c. 343
d. 175

Q19. A shopkeeper sold an article for Rs. 540 at some profit. Had he sold it for Rs. 470, then there would have been a loss equal to one-sixth of the initial profit. What was the cost price of the article?

a. 525
b. 480
c. 505
d. 540

Q20. If x - x^-1 = 6, then the value of x⁴ + x^-4 is:

a. 1158
b. 1154
c. 1440
d. 1442

Q21. The average of fourteen numbers is 46. The average of the first five is 43 and that of last six number is 49.5. The sixth and seventh numbers are respectively 4 and 8 greater than the eighteen number. What is the average of sixth and seventh numbers?

a. 46
b. 48
c. 52
d. 51

Q22. The difference between the compound interest and simple interest on Rs. x at 8.5% per annum for 2 years is 65.025. What is the value of x?

a. 8625
b. 8500
c. 9000
d. 8725

Q23. If each side of a rectangular field is increased by 32%, then by how much percent does the area of the field increase?

a. 64%
b. 72.84%
c. 67.74%
d. 74.24%

Q24. A man get a discount of 32% and then 25% on his shopping bill of Rs. 5000. What is the total discount percentage he got?

a. 57%
b. 49%
c. 7%
d. 45%

Q25. If a person invest Rs. 33250 in an account that yield 7.4% p.a. Simple interest, then how much does he has after 5 years?

a. 45552.5
b. 12302.5
c. 42255.5
d. 47225.25

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ANSWER:
1. (d), 2. (a), 3. (b), 4. (d), 5. (d), 6. (d), 7. (a), 8. (d), 9. (d), 10. (b)
11. (d), 12. (b), 13. (d), 14. (a), 15. (a), 16. (d), 17. (d), 18. (d), 19. (b), 20. (d)
21.(a), 22. (c), 23. (d), 24. (b), 25. (a)